Whatever the belief system or whoever they're dedicated to, shrines have a way of making you contemplative. Check out Ubushina Shrine and share a quiet moment with the local faithful.
This sacred place doesn't cost a thing to visit, which is good news if you're watching your budget. Ubushina Shrine is located in Utazu. When you're ready to leave, Marugame Castle, Higashiyama Kaii Setouchi Art Museum and Marugame Stadium are nearby and also worth checking out.